From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories

被引：0
|
作者：
Wu, Yilin [1 ]
Zhou, Guodong [1 ]
机构：
[1] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 02期
关键词：
abelian categories; homotopy categories; unbounded derived categories; short exact sequences; recollements;
D O I：
10.3934/era.2022028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a short exact sequence of abelian categories gives rise to short exact sequences of abelian categories of complexes, homotopy categories and unbounded derived categories, refining a result of J. Miyachi.
引用
收藏
页码：535 / 564
页数：30
相关论文
共 50 条
12345